398496 has 48 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 113664.

The previous prime is 398491. The next prime is 398509. The reversal of 398496 is 694893.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (398491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2³⁹⁸⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752).

398496 is an abundant number, since it is smaller than the sum of its proper divisors (799008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398496 is a wasteful number, since it uses less digits than its factorization.

398496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 398496 is about 631.2653958519. The cubic root of 398496 is about 73.5881676001.

The spelling of 398496 in words is "three hundred ninety-eight thousand, four hundred ninety-six".